There are 7 empty lockers in a school hallway. in how many different ways could 4 new students be assigned to lockers?

This can be solved using the combination formula C (n, r), where n is the number of objects (lockers) and r is the sample (number of students).

There are 7 lockers and 4 students, so it would be written as C (7,4)

= 7! / (4! (7-4) !)

= 7*6*5*4*3*2 / ((4*3*2) * (3*2))

=5040 / (24*6)

=5040/144

=35

There are 35 different ways.